We prove Lp and weighted Lp estimates for bounded functions of a selfadjoint operator satisfying a pointwise Gaussian estimate for its heat kernel. As an application, we obtain weighted estimates for fractional powers of an electromagnetic Schrödinger operator with singular coefficients. The proofs are based on a modification of techniques due to Hebisch (1990) [17] and Auscher and Martell (2006) [4]. © 2011 Elsevier Inc..
Weighted Lp estimates for powers of selfadjoint operators / D'Ancona, Piero Antonio; Cacciafesta, Federico. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - STAMPA. - 229:1(2012), pp. 501-530. [10.1016/j.aim.2011.09.007]
Weighted Lp estimates for powers of selfadjoint operators
D'ANCONA, Piero Antonio;CACCIAFESTA, FEDERICO
2012
Abstract
We prove Lp and weighted Lp estimates for bounded functions of a selfadjoint operator satisfying a pointwise Gaussian estimate for its heat kernel. As an application, we obtain weighted estimates for fractional powers of an electromagnetic Schrödinger operator with singular coefficients. The proofs are based on a modification of techniques due to Hebisch (1990) [17] and Auscher and Martell (2006) [4]. © 2011 Elsevier Inc..| File | Dimensione | Formato | |
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